scholarly journals Global nonexistence of solutions to degenerate parabolic equations in unbounded domains

2006 ◽  
Vol 19 (6) ◽  
pp. 535-540
Author(s):  
Caisheng Chen
Keyword(s):  
Parabolic Equations ◽  
Unbounded Domains ◽  
Degenerate Parabolic Equations ◽  
Global Nonexistence ◽  
Nonexistence Of Solutions ◽  
Degenerate Parabolic

Wong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains

2020 ◽  
pp. 2150033
Author(s):  
Fahe Miao ◽  
Hui Liu ◽  
Jie Xin
Keyword(s):  
White Noise ◽  
Parabolic Equations ◽  
Existence And Uniqueness ◽  
Stationary Process ◽  
Unbounded Domains ◽  
Degenerate Parabolic Equations ◽  
Pullback Attractors ◽  
Multiplicative White Noise ◽  
Degenerate Parabolic

The Wong–Zakai approximations given by a stationary process and attractors for stochastic degenerate parabolic equations are considered in this paper. We first establish the existence and uniqueness of tempered pullback attractors for the Wong–Zakai approximations of stochastic degenerate parabolic equations. We then prove that the attractors of Wong–Zakai approximations converge to the attractor of stochastic degenerate parabolic equations driven by multiplicative white noise.

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